20190327 Factor Analysis of ASD patients
Zanis Fang, UID: ZF2213
3/27/2019
Eigenvalues for factor analysis
The eigenvalue of 1st dimension reduced from 8.43 (explain %6.86 variance) to 6.28 (explain %5.12 variance).
2nd dimension increases its eigenvalues and variance explained. 3rd and 4th dimension remains the same.
Intepretation of dimensions
The top four dimensions can still be intepreted as before, with changes in top variable loadings on 1st and 4th dimension.
| variable | dim_1 |
|---|---|
| sleep_eat_toilet | 4.499382 |
| sleep_dx | 3.897170 |
| med_cond_growth | 3.223177 |
| dev_motor | 3.181388 |
| feeding_dx | 3.149210 |
| enures | 3.109189 |
| dev_ld | 2.693617 |
| dev_id | 2.678035 |
| encopres | 2.671462 |
| gen_test | 2.600246 |
| variable | dim_2 |
|---|---|
| mood_or_anx | 10.275140 |
| mood_anx | 7.161051 |
| mood_dep | 6.649120 |
| mood_soc_anx | 5.771604 |
| age_at_eval_months | 4.877607 |
| mood_ocd | 4.238542 |
| behav_adhd | 4.185975 |
| attn_behav | 3.966316 |
| dev_lang_dis | 3.445266 |
| mood_sep_anx | 3.088127 |
| variable | dim_3 |
|---|---|
| med_cond_birth_def | 12.249186 |
| birth_def_bone | 7.874764 |
| birth_def_thorac | 5.989751 |
| birth_def_cns | 5.645463 |
| birth_def_thorac_heart | 4.773771 |
| birth_def_gastro | 4.678376 |
| birth_def_bone_miss | 4.357501 |
| birth_def_bone_spine | 4.020091 |
| birth_def_urogen | 3.950929 |
| birth_def_fac | 3.931165 |
| variable | dim_4 |
|---|---|
| dev_lang | 4.613866 |
| gen_test_fish_angel | 4.547732 |
| gen_test_fish_williams | 4.331984 |
| dev_lang_dis | 4.190326 |
| sleep_eat_toilet | 4.120426 |
| gen_test_mecp2 | 3.727107 |
| gen_test | 3.329941 |
| gen_test_fish_digeorge | 3.234268 |
| gen_test_fish_oth | 3.154239 |
| gen_test_id | 2.969846 |
First dimension are mostly sleep/eating/toileting problems, and several developmental disorders. The number of developmental disorder related variables are less than previous analysis.
Second dimension are mood related disorders such as anxiety, biopolar depression, etc. (Roughly the same as previous analysis)
Third dimensions are mostly birth defects. (Roughly the same as previous analysis)
Fourth dimensions are genetic testings (They are independent of birth defects/disorders).
K-means
Four-cluster is still meaningful.
K-mean results shows that the clusters are more separated on Mood&Depression rather than Development&ASD.